trid.m

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% Broyden tridiagonal function% ---------------------------- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% function [fvec,J]=trid(n,m,x,option)% Dimensions -> n=variable, m=n% Problem no. 30% Standard starting point -> x=(-1,..,-1)% Minima -> f=0 %                                     % 11/21/94 by Madhu Lamba  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%function [fvec,J] = trid(n,m,x,option)  J=zeros(m,n);for i=1:n   if (option==1 | option==3)      x(n+1)=0;      if (i==1)         fvec(i)=(3-2*x(i))*x(i)-2*x(i+1)+1;      elseif (i==n)         fvec(i)=(3-2*x(i))*x(i)-x(i-1)+1;      else         fvec(i)=(3-2*x(i))*x(i)-x(i-1)-2*x(i+1)+1;      end;    end;          if (option==2 | option==3)      J(i,i)=3-4*x(i);      if (i<n)         J(i,i+1)=-2;         J(i+1,i)=-1;      end;   end;end; if (option==1 | option==3)   fvec=fvec';end;%

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